1. Using the Kendall notation scheme (e.g., M/M/1), describe each of the following queuing systems:

a. Clerks arrive according to a Poisson distribution to use a copy machine. Each clerk copies only one page.

b. Syringes come off an assembly line at a constant rate to be inspected. The inspection time follows the normal distribution, and there are four inspectors.

c. Patients call at a rate of 12 per hour (Poisson distribution) to preregister for a procedure. The preregistration time follows the exponential distribution with a mean of 5 minutes, and the minimum number of schedulers needed is available for preregistering.

d. Patients and their families arrive randomly (Poisson distribution) at a rate of five per hour to use the automatic teller machine in the hospital lobby. Service time follows a uniform distribution.

e. Patients arrive at one of BPH’s clinics every 5 minutes (exponential), on average.

The time it takes them to check in follows the normal distribution, and there are two receptionists.